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Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

Author

Listed:
  • Paweł Jabłoński

    (Department of Automation, Electrical Engineering and Optoelectronics, Faculty of Electrical Engineering, Czestochowa University of Technology, Armii Krajowej 17, 42-200 Czestochowa, Poland)

  • Dariusz Kusiak

    (Department of Automation, Electrical Engineering and Optoelectronics, Faculty of Electrical Engineering, Czestochowa University of Technology, Armii Krajowej 17, 42-200 Czestochowa, Poland)

  • Tomasz Szczegielniak

    (Department of Automation, Electrical Engineering and Optoelectronics, Faculty of Electrical Engineering, Czestochowa University of Technology, Armii Krajowej 17, 42-200 Czestochowa, Poland)

Abstract

Power and communication lines with round wires are often used in electrical engineering. The skin and proximity effects affect the current density distribution and increase resistances and energy losses. Many approaches were proposed to calculate the effects and related quantities. One of the simplest approximate closed solutions neglects the dimensions of neighboring wires. In this paper, a solution to this problem is proposed based on the method of successive reactions. In this context, the solution with substitutive filaments is considered as the first approximation of the true solution. Several typical arrangements of wires in single-phase communication lines or three-phase bus ducts are considered to detect the limits of applicability of the first approximation. The error of the first approximation grows with wire radius to skin depth ratio and wire radius to wire spacing ratio. When the wire radius to skin depth ratio is up to 1, and the gap between the wires is above the wire radius, the error is at a level of 1%. However, lowering the distance and/or skin depth leads to a much larger error in the first approximation.

Suggested Citation

  • Paweł Jabłoński & Dariusz Kusiak & Tomasz Szczegielniak, 2020. "Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires," Energies, MDPI, vol. 13(24), pages 1-21, December.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:24:p:6716-:d:465115
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    References listed on IDEAS

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    1. Paweł Jabłoński & Tomasz Szczegielniak & Dariusz Kusiak & Zygmunt Piątek, 2019. "Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors," Energies, MDPI, vol. 12(18), pages 1-19, September.
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    Cited by:

    1. Artur Cywiński & Krzysztof Chwastek, 2021. "A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines," Energies, MDPI, vol. 14(7), pages 1-20, April.

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